TY - BOOK
AU - McCluskey,Aisling
TI - Undergraduate analysis : a working textbook
SN - 9780198817567 (hbk)
U1 - 515 23
PY - 2018///
CY - Oxford
PB - Oxford University Press
KW - Mathematical analysis
KW - MATHEMATICS / Calculus
KW - MATHEMATICS / Mathematical Analysis
N1 - Preliminaries -- Limit of a sequence - an idea, a definition, a tool -- Interlude: different kinds of numbers -- Up and down - increasing and decreasing sequences -- Special (or specially awkward) examples -- Endless sums - a first look at series -- Continuous functions - the domain thinks that the graph is unbroken -- Limit of a function -- Epsilontics and functions -- Infinity and function limits -- Differentiation - the slope of a graph -- The Cauchy condition - sequences whose terms pack tightly together -- More about series -- Uniform continuity - continuity's global cousin -- Differentiation - mean value theorems, power series -- Riemann integration - area under a graph -- The elementary functions revisited -- Exercises: for additional practice
ER -